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Finding the Fourth Proportional to 9,570, 14,352.94 and 2,995.33

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Solution

The fourth proportional to 9,570, 14,352.94 and 2,995.33 is: 4,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 14,352.94 = 2,995.33 : x
  2. Step 2: Convert to fraction form
    9,570/14,352.94 = 2,995.33/x
  3. Step 3: Cross multiply
    9,570x = 14,352.94 × 2,995.33
  4. Step 4: Simplify right side
    9,570x = 42,991,791.77
  5. Step 5: Solve for x
    x = 42,991,791.77/9,570
  6. Step 6: Final answer
    x = 4,492.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.